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Finding the Fourth Proportional to 360.83, 497.94 and 203.50

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Solution

The fourth proportional to 360.83, 497.94 and 203.50 is: 280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.83 : 497.94 = 203.50 : x
  2. Step 2: Convert to fraction form
    360.83/497.94 = 203.50/x
  3. Step 3: Cross multiply
    360.83x = 497.94 × 203.50
  4. Step 4: Simplify right side
    360.83x = 101,330.05
  5. Step 5: Solve for x
    x = 101,330.05/360.83
  6. Step 6: Final answer
    x = 280.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.